Opened 8 years ago
Closed 8 years ago
#12151 closed defect (fixed)
Bug in global_integral_model for elliptic curves over number fields
Reported by: | johanbosman | Owned by: | cremona |
---|---|---|---|
Priority: | major | Milestone: | sage-5.0 |
Component: | elliptic curves | Keywords: | |
Cc: | Merged in: | sage-5.0.beta9 | |
Authors: | Johan Bosman, John Cremona | Reviewers: | David Loeffler |
Report Upstream: | N/A | Work issues: | |
Branch: | Commit: | ||
Dependencies: | Stopgaps: |
Description
sage: K.<v> = NumberField(x^2 + 161*x - 150) sage: E = EllipticCurve([25105/216*v - 3839/36, 634768555/7776*v - 98002625/1296, 634768555/7776*v - 98002625/1296, 0, 0]) sage: E.global_integral_model() ... AssertionError: bug in global_integral_model: [-511235417/8*v + 238969025/4, 789861012140869185/32*v - 365842578320087625/16, -434331620876169353603835/32*v + 201170993209979865073875/16, 0, 0]
Attachments (1)
Change History (6)
comment:1 Changed 8 years ago by
Changed 8 years ago by
comment:2 follow-up: ↓ 3 Changed 8 years ago by
- Status changed from new to needs_review
Changing negative
into positive
was done in #7935, so I've decided to keep it positive
. ;).
comment:3 in reply to: ↑ 2 Changed 8 years ago by
Replying to johanbosman:
Changing
negative
intopositive
was done in #7935, so I've decided to keep itpositive
. ;).
I have CC'd Chris Wuthrich who made the patch at #7935 (where I made a comment on exactly that line).
comment:4 Changed 8 years ago by
- Reviewers set to David Loeffler
- Status changed from needs_review to positive_review
This looks fine to me.
comment:5 Changed 8 years ago by
- Merged in set to sage-5.0.beta9
- Resolution set to fixed
- Status changed from positive_review to closed
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This can be fixed by changing
on line 564 of ell_number_field.py to
or alternatively (I think)
I checked that the first alternative works.
NB I also think that the line
should be
since we will divide by a power of pi and want to make sure that the model stays integral at other primes. This does not matter in the example given where the class number is 1 so each pi will be an actual generator of the prime ideal.